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Finding the Fourth Proportional to 100,307.88, 150,469.74 and 33,747.48

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Solution

The fourth proportional to 100,307.88, 150,469.74 and 33,747.48 is: 50,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,307.88 : 150,469.74 = 33,747.48 : x
  2. Step 2: Convert to fraction form
    100,307.88/150,469.74 = 33,747.48/x
  3. Step 3: Cross multiply
    100,307.88x = 150,469.74 × 33,747.48
  4. Step 4: Simplify right side
    100,307.88x = 5,077,974,541.26
  5. Step 5: Solve for x
    x = 5,077,974,541.26/100,307.88
  6. Step 6: Final answer
    x = 50,623.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.